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102021119972 = 22233286138261
BaseRepresentation
bin101111100000011101…
…1101011111111100100
3100202100000201212121222
41133000323223333210
53132414401314342
6114511242355512
710241115132362
oct1370073537744
9322300655558
10102021119972
113a2a3298492
12179327bbb98
13980b46cc15
144d1b656632
1529c18beed2
hex17c0eebfe4

102021119972 has 24 divisors (see below), whose sum is σ = 179370572472. Its totient is φ = 50772550400.

The previous prime is 102021119971. The next prime is 102021120023. The reversal of 102021119972 is 279911120201.

It can be written as a sum of positive squares in 4 ways, for example, as 25880443876 + 76140676096 = 160874^2 + 275936^2 .

It is not an unprimeable number, because it can be changed into a prime (102021119971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2647322 + ... + 2685582.

It is an arithmetic number, because the mean of its divisors is an integer number (7473773853).

Almost surely, 2102021119972 is an apocalyptic number.

It is an amenable number.

102021119972 is a deficient number, since it is larger than the sum of its proper divisors (77349452500).

102021119972 is a wasteful number, since it uses less digits than its factorization.

102021119972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41359 (or 41357 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 35.

The spelling of 102021119972 in words is "one hundred two billion, twenty-one million, one hundred nineteen thousand, nine hundred seventy-two".

Divisors: 1 2 4 233 466 932 2861 5722 11444 38261 76522 153044 666613 1333226 2666452 8914813 17829626 35659252 109464721 218929442 437858884 25505279993 51010559986 102021119972